653828400 has 90 divisors (see below), whose sum is σ = 2268978660. Its totient is φ = 174353280.

The previous prime is 653828389. The next prime is 653828401. The reversal of 653828400 is 4828356.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (653828401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87210 + ... + 94409.

It is an arithmetic number, because the mean of its divisors is an integer number (25210874).

Almost surely, 2^653828400 is an apocalyptic number.

653828400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

653828400 is an abundant number, since it is smaller than the sum of its proper divisors (1615150260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

653828400 is a wasteful number, since it uses less digits than its factorization.

653828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181643 (or 181629 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 653828400 is about 25570.0684394860. The cubic root of 653828400 is about 867.9364490130.

The spelling of 653828400 in words is "six hundred fifty-three million, eight hundred twenty-eight thousand, four hundred".